Quaternion Fusion Packets

Let \(p\) be a prime and \(S\) a finite \(p\)-group. A \(p\)-fusion system on \(S\) is a category whose objects are the subgroups of \(S\) and whose morphisms are certain injective group homomorphisms. Fusion systems are of interest in modular representation theory, algebraic topology, and local finite group theory.

This book provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for …